Dynamics of a parametrically excited double pendulum

DOI10.1016/0167-2789(94)00099-9zbMath0820.34020OpenAlexW2024756266MaRDI QIDQ1344754

Anne C. Skeldon

Publication date: 16 February 1995

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-2789(94)00099-9

zbMATH Keywords

chaosbifurcationmethod of averagingcentre manifold reductiontorus doubling2:2 mode interactionparametrically excited double pendulum

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29)

Related Items (10)

Dynamics and bifurcations of two coupled neural oscillators with different connection types ⋮ Asymptotic analysis of resonances in nonlinear vibrations of the 3-dof pendulum ⋮ Piecewise Smooth Models of Pumping a Child's Swing ⋮ Short comments on chaotic behavior of a double pendulum with two subharmonic frequencies and in the main resonance zone ⋮ A transverse spinning double pendulum ⋮ Bifurcations of oscillatory and rotational solutions of double pendulum with parametric vertical excitation ⋮ Comparisons between the pendulum with varying length and the pendulum with oscillating support ⋮ Transient chimera-like states for forced oscillators ⋮ Instability and bifurcation near the symplectic 1 :4 resonance ⋮ Dimensionality Reduction of Dynamical Systems with Parameters: A Geometric Approach

Cites Work

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• Symmetry-breaking bifurcations in resonant surface waves
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